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Journal of Porous Media
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ISSN Imprimer: 1091-028X
ISSN En ligne: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v12.i11.40
pages 1065-1082

Effect of Porous Fraction and Interfacial Stress Jump on Skin Friction and Heat Transfer in Flow Through a Channel Partially Filled with Porous Material

D. Bhargavi
Department of Mathematics, National Institute of Technology, Warangal, India-506004
V. V. Satyamurty
Department of Mechanical Engineering, Indian Institute of Technology, Kharagpur-721302 , India
G. P. Raja Sekhar
Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur, 721302

RÉSUMÉ

Changes in skin friction coefficient and Nusselt number were examined when a porous layer was attached to one of the walls of a parallel plate channel subjected to constant heat flux. The flow and thermal fields were assumed to be fully developed. It was found that the net change in skin friction coefficient and Nusselt number with porous fraction is more significant than the changes due to stress jump coefficient, except for the extreme value of unity for the stress jump coefficient. Further, it was shown that the increase in the Nusselt number on the fluid side is higher than the decrease on the porous side for a porous fraction above a certain value, which depends on the Darcy number. The existence of optimum thickness for the porous layer is established. Further studies on optimizing the porous layer thickness subject to the constraints of fixed flow rate, pressure gradient, or pressure drop need to be undertaken.


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